Answer:
y2-y
Simplify ———————
y2 - 25
2.1 Pull out like factors :
y2 - y = y • (y - 1)
2.2 Factoring: y2 - 25
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Check : 25 is the square of 5
Check : y2 is the square of y1
Factorization is : (y + 5) • (y - 5)
Final result
4y
—————
y + 5
Explanation:
hope it helps